Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for the market index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola.   b)   Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (βA) to beta of B (βB)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Could you answer both of these questions in detail, as I have previously sent these questions, I have got the answers but I dont understand how and where the numbers have come from

as for example for part A you multiplied the Second equation by -1 why?

for part B the steps were not detailed enough to understand what had been done

 

 a)  ) Historical nominal returns for Coca-Cola have been 8% and -20%. The nominal returns for the market index S&P500 over the same periods were -15% and 28%. Calculate the beta for Coca-cola.

 

b)   Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (βA) to beta of B (βB)

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